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Lattices of Infinite Length with Covering Properties

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Semimodular Lattices

Part of the book series: Teubner-Texte zur Mathematik ((TTZM,volume 125))

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Abstract

The concept of semimodularity as applied to lattices of finite length ramifies rather unpleasantly when extended to arbitrary lattiĀ­ces (s. BIRRHOFF [1967], Remark p. 85). For instance, CROISOT [1951 a] discusses the interrelationship of 23 such ramifications and gives many examples for each of them.

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Ā© 1991 Springer Fachmedien Wiesbaden

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Stern, M. (1991). Lattices of Infinite Length with Covering Properties. In: Semimodular Lattices. Teubner-Texte zur Mathematik, vol 125. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-12478-8_4

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  • DOI: https://doi.org/10.1007/978-3-663-12478-8_4

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-12479-5

  • Online ISBN: 978-3-663-12478-8

  • eBook Packages: Springer Book Archive

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